2011 Fiscal Year Final Research Report
Free boundary problems described by vectorial order parameters
| Project/Area Number |
21740120
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Chiba University (2010-2011)
Kobe University (2009) |
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Principal Investigator |
SHIRAKAWA Ken 千葉大学, 教育学部, 准教授 (50349809)
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| Research Collaborator |
STEFANELLI Ulisse 応用数学情報工学研究所, イタリア学術研究会議(IMATI-CNR, Italy), 研究員
HADIJI Rejeb パリ東大学, 教授
TAKANO Tatsuyuki 関東学院大学, 工学部, 助手 (30637294)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 非線形現象 / 自由境界問題 / ベクトル値の相関数 / 変分学 / 安定性 / 幾何学的構造固体・液体相転移 / 薄膜磁性体 |
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| Research Abstract |
The objective in this study is to understand the deformation process of free boundaries from variational and geometric viewpoint. To this end, some free boundary problems appearing in two phenomena : solid-liquid phase transition ; ferromagnetic thin film ; were dealt with. On that basis, various study results were reported during the research period. Especially, it will be notable that some obtained results are concerned with more advanced themes than originally expected : optimal control problem ; numerical experiments for optimal controls.
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Research Products
(42 results)
